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Title: | An existence result for -Laplace equation with gradient nonlinearity in R |
Authors: | Dwivedi, Gaurav |
Keywords: | Mathematics Mathematics - analysis |
Issue Date: | May-2022 |
Publisher: | EPI Sciences |
Abstract: | We prove the existence of a weak solution to the problem −Δpu+V(x)|u|p−2uu(x)=f(u,|∇u|p−2∇u), >0 ∀x∈RN, where Δpu=div(|∇u|p−2∇u) is the p-Laplace operator, 1<p<N and the nonlinearity f:R×RN→R is continuous and it depends on gradient of the solution. We use an iterative technique based on the Mountain pass theorem to prove our existence result. |
URI: | https://cm.episciences.org/9316 http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17406 |
Appears in Collections: | Department of Mathematics |
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